{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "97dffe25-de13-4df5-b62a-81a17e292a20",
   "metadata": {},
   "source": [
    "# 对数变换\n",
    "## 原理回顾\r",
    "对数变换的函数形式为$$g(x,y)=C\\times\\log(1 + f(x,y))$$\n",
    "其中$f(x,y)$表示原始图像在坐标$(x,y)$处的像素灰度值，$g(x,y)$是变换后对应位置的像素灰度值，$C$为常数，通常用于调整变换的强度。通过对原始图像的每个像素灰度值应用这个函数，能够压缩图像的动态范围，让低灰度值区域的细节更加明显。\n",
    "\n",
    "例如，如果你有一张高动态范围的风景图像，图像中天空部分很亮，地面部分较暗，经过对数变换后，地面较暗区域的细节（比如草丛、石头等的纹理）可能会变得更加清晰可见，整体图像的视觉效果更加平衡，亮度的剧烈变化得到了一定程度的缓和。你可以通过调整常数$C$的值来控制对数变换的强度，找到最适合你需求的变换效果。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "835c018f-726b-4565-adce-51100624e55a",
   "metadata": {},
   "outputs": [],
   "source": [
    "import cv2\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "6745155f-eab9-4a9c-92b2-d1341766ef6e",
   "metadata": {},
   "outputs": [],
   "source": [
    "def logarithmic_transform(image, C=1.0):\n",
    "    \"\"\"\n",
    "    对输入图像进行对数变换\n",
    "    :param image: 输入的图像（以灰度图形式，numpy数组表示）\n",
    "    :param C: 对数变换的常数，默认值为1.0\n",
    "    :return: 对数变换后的图像（numpy数组表示）\n",
    "    \"\"\"\n",
    "    # 获取图像的高度和宽度\n",
    "    height, width = image.shape[:2]\n",
    "    t_image = [[0 for _ in range(width)] for _ in range(height)] # 防止更改原图像\n",
    "    # 对图像的每个像素点进行对数变换\n",
    "    for y in range(height):\n",
    "        for x in range(width):\n",
    "            pixel_value = image[y][x]\n",
    "            # 根据对数变换公式进行计算，为避免log(0)情况，先加1\n",
    "            new_value = C * np.log(1 + pixel_value)\n",
    "            # 将计算结果限制在0-255范围内（假设输出图像也是8位灰度图），并转换为整数类型\n",
    "            new_value = np.clip(new_value, 0, 255).astype(np.uint8)\n",
    "            t_image[y][x] = new_value\n",
    "    return t_image"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9edd0ea3-2cf1-4dff-82a5-21cd770b017d",
   "metadata": {},
   "source": [
    "代码解释\n",
    "- **`logarithmic_transform`函数**：\n",
    "    - 这个函数接受两个参数，`image`是输入的灰度图像，以二维的`numpy`数组形式表示（通过`cv2.imread`以灰度图模式读取图像时得到的就是这种格式），`C`是对数变换的常数，默认为`1.0`。\n",
    "    - 在函数内部，首先通过`image.shape[:2]`获取图像的高度和宽度，用于后续遍历图像的每个像素点。\n",
    "    - 接着使用嵌套的`for`循环遍历图像的每一行（`y`）和每一列（`x`），获取每个像素点的灰度值`pixel_value`，按照对数变换公式\\(g(x,y)=C\\times\\log(1 + f(x,y))\\)进行计算，得到新的灰度值`new_value`。\n",
    "    - 由于`np.log`函数计算得到的结果可能是浮点数，并且范围不一定在图像像素值的有效范围（0 - 255）内，所以使用`np.clip`函数将其限制在这个范围内，然后通过`astype(np.uint8)`将其转换为8位无符号整数类型（符合图像像素值的常见数据类型要求），最后将更新后的像素值放回原图像对应的位置，完成整个图像的对数变换并返回变换后的图像。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d2f805e5-743a-4b5d-95c8-0a484425f31f",
   "metadata": {},
   "source": [
    "## 示例用法\n",
    "以下示例展示如何读取一张图像，对其进行对数变换，并显示原始图像和变换后的图像以对比效果。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "8c964911-0b17-4691-958e-91079a3e5d98",
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 读取图像（以灰度图模式读取）\n",
    "image = cv2.imread('flower.jpg', 0)\n",
    "# 进行对数变换，这里C取1.0，你可以根据实际效果调整C的值\n",
    "transformed_image = logarithmic_transform(image, C=1.0)\n",
    "\n",
    "# 使用matplotlib在Jupyter Notebook中显示原始图像和变换后的图像\n",
    "plt.subplot(1, 2, 1)\n",
    "plt.imshow(image, cmap='gray')\n",
    "plt.title('Original Image')\n",
    "\n",
    "plt.subplot(1, 2, 2)\n",
    "plt.imshow(transformed_image, cmap='gray')\n",
    "plt.title('Transformed Image')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cde5b419-6312-4789-b861-3d9aaa2c1ebe",
   "metadata": {},
   "source": [
    "可以看到，低灰度值区域的细节变得更加明显。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "1a7a864e-9619-4de3-b99b-fc386f69e90a",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
